Search a number
-
+
23041140114000 = 243538814358899
BaseRepresentation
bin1010011110100101011101…
…11110001100001001010000
310000120201012200010002222210
411033102232332030021100
511010001223332122000
6121000541553032120
74565444634334221
oct517225676141120
9100521180102883
1023041140114000
117383768a05328
12270163b255640
13cb1a02150558
145992a8d03248
1529e54621d350
hex14f4aef8c250

23041140114000 has 160 divisors (see below), whose sum is σ = 74368971331200. Its totient is φ = 6137328384000.

The previous prime is 23041140113989. The next prime is 23041140114101. The reversal of 23041140114000 is 41104114032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106551 + ... + 7465449.

It is an arithmetic number, because the mean of its divisors is an integer number (464806070820).

Almost surely, 223041140114000 is an apocalyptic number.

23041140114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041140114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37184485665600).

23041140114000 is an abundant number, since it is smaller than the sum of its proper divisors (51327831217200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23041140114000 is a wasteful number, since it uses less digits than its factorization.

23041140114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359806 (or 4359790 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 23041140114000 its reverse (41104114032), we get a palindrome (23082244228032).

The spelling of 23041140114000 in words is "twenty-three trillion, forty-one billion, one hundred forty million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 881 1000 1200 1500 1762 2000 2643 3000 3524 4405 5286 6000 7048 8810 10572 13215 14096 17620 21144 22025 26430 35240 42288 44050 52860 66075 70480 88100 105720 110125 132150 176200 211440 220250 264300 330375 352400 440500 528600 660750 881000 1057200 1321500 1762000 2643000 4358899 5286000 8717798 13076697 17435596 21794495 26153394 34871192 43588990 52306788 65383485 69742384 87177980 104613576 108972475 130766970 174355960 209227152 217944950 261533940 326917425 348711920 435889900 523067880 544862375 653834850 871779800 1046135760 1089724750 1307669700 1634587125 1743559600 2179449500 2615339400 3269174250 3840190019 4358899000 5230678800 6538348500 7680380038 8717798000 11520570057 13076697000 15360760076 19200950095 23041140114 26153394000 30721520152 38401900190 46082280228 57602850285 61443040304 76803800380 92164560456 96004750475 115205700570 153607600760 184329120912 192009500950 230411401140 288014251425 307215201520 384019001900 460822802280 480023752375 576028502850 768038003800 921645604560 960047504750 1152057005700 1440071257125 1536076007600 1920095009500 2304114011400 2880142514250 3840190019000 4608228022800 5760285028500 7680380038000 11520570057000 23041140114000